C₁₇×C₂₃×D₄₅ #47976089

order	35190
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₇×C₂₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₇×C₂₃×D₄₅
unambiguous semidirect product	C₅⋊(C₁₇×D₉×C₂₃)
unambiguous semidirect product	C₉⋊(D₅×C₁₇×C₂₃)

	subgroup	G/H
center, hypercenter	C₁₇×C₂₃	D₄₅
commutator, cosocle, hypocenter	C₅×C₉	C₂×C₁₇×C₂₃
Frattini	C₃	C₁₇×C₂₃×D₁₅
Fitting	C₅×C₉×C₁₇×C₂₃	C₂
socle	C₃×C₅×C₁₇×C₂₃	D₃
LCS	G ▷ C₅×C₉
UCS	C₁ ◁ C₁₇×C₂₃

48 conjugacy classes of subgroups.

μ_t(G) = 17595

9384 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35190, 13);